Wang, B.; Li, X. Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response. Fractal Fract.2023, 7, 722.
Wang, B.; Li, X. Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response. Fractal Fract. 2023, 7, 722.
Wang, B.; Li, X. Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response. Fractal Fract.2023, 7, 722.
Wang, B.; Li, X. Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response. Fractal Fract. 2023, 7, 722.
Abstract
We here investigate the dynamical behavior of a fractional-order predator-prey system with anti-predator behavior and Holling IV type functional response. First we study the non-negativity, existence, uniqueness, and boundedness of solutions to the system from a mathematical analysis perspective. Then, we analyze the stability of its equilibrium points and the possibility of bifurcations using stability analysis methods and bifurcation theory, and prove the existence of a supercritical Hopf bifurcation in the system. After providing numerical simulations to illustrate the conclusions theoretically derived, by summarizing those various analytical results obtained, we finally present three interesting conclusions that can contribute to better understanding and preservation of ecological systems.
Keywords
fractional order predator-prey system; Holling IV type functional response; anti-predator behavior; supercritical Hopf bifurcation
Subject
Computer Science and Mathematics, Mathematical and Computational Biology
Copyright:
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